Methods for the analytic determination of the effective conductivities of heterogeneous systems

Abstract

Closure of Transfer Equations in Heterogeneous SystemsHeterogeneous systems with a disordered structure (composite and granular materials, eutectie alloys and their melts, composites, metal ceramics, solutions, etc.) constitute macroscopic uniform systems made up of small nonuniform regions (components) and delimited interfaces.The dimension of the nonuniformity, d, is much smaller than the characteristic dimension L of the specimen, but much larger than the length of the free path A 0 of the carriers of heat flux, electricity, etc., i.e., A 0 << d << L.